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109099826424 = 23332294674723
BaseRepresentation
bin110010110011011011…
…0110011110011111000
3101102121100120102101000
41211212312303303320
53241414023421144
6122041511525000
710611411136461
oct1454666636370
9342540512330
10109099826424
11422a600a406
1219189389760
13a398b72514
1453cd81dd68
152c88084769
hex1966db3cf8

109099826424 has 128 divisors (see below), whose sum is σ = 305094816000. Its totient is φ = 36122620032.

The previous prime is 109099826411. The next prime is 109099826431. The reversal of 109099826424 is 424628990901.

109099826424 is a `hidden beast` number, since 109 + 0 + 9 + 98 + 26 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23097327 + ... + 23102049.

It is an arithmetic number, because the mean of its divisors is an integer number (2383553250).

Almost surely, 2109099826424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109099826424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152547408000).

109099826424 is an abundant number, since it is smaller than the sum of its proper divisors (195994989576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109099826424 is a wasteful number, since it uses less digits than its factorization.

109099826424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5434 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 109099826424 in words is "one hundred nine billion, ninety-nine million, eight hundred twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 467 687 916 934 1374 1401 1832 1868 2061 2748 2802 3736 4122 4203 4723 5496 5604 6183 8244 8406 9446 11208 12366 12609 14169 16488 16812 18892 24732 25218 28338 33624 37784 42507 49464 50436 56676 85014 100872 106943 113352 127521 170028 213886 255042 320829 340056 427772 510084 641658 855544 962487 1020168 1081567 1283316 1924974 2163134 2205641 2566632 2887461 3244701 3849948 4326268 4411282 5774922 6489402 6616923 7699896 8652536 8822564 9734103 11549844 12978804 13233846 17645128 19468206 19850769 23099688 25957608 26467692 29202309 38936412 39701538 52935384 58404618 59552307 77872824 79403076 116809236 119104614 158806152 233618472 238209228 476418456 505091789 1010183578 1515275367 2020367156 3030550734 4040734312 4545826101 6061101468 9091652202 12122202936 13637478303 18183304404 27274956606 36366608808 54549913212 109099826424